2541942000 has 800 divisors, whose sum is σ = 10617070464. Its totient is φ = 580608000.

The previous prime is 2541941971. The next prime is 2541942001. The reversal of 2541942000 is 2491452.

2541942000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2541942000² = 12922938262728000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541942001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35801965 + ... + 35802035.

Almost surely, 2^2541942000 is an apocalyptic number.

2541942000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308535232).

2541942000 is an abundant number, since it is smaller than the sum of its proper divisors (8075128464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2541942000 is a wasteful number, since it uses less digits than its factorization.

2541942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2541942000 is about 50417.6754720009. The cubic root of 2541942000 is about 1364.7566285104.

The spelling of 2541942000 in words is "two billion, five hundred forty-one million, nine hundred forty-two thousand".